scholarly journals The Profile of Horizontal and Vertical Mathematization Process of Junior High School Student with High Mathematical Ability in Solving Contextual Problem of Fraction

2020 ◽  
Vol 3 (2) ◽  
pp. 52
Author(s):  
Muhammad Ahsanul Amala ◽  
Rooselyna Ekawati
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Structured Interview ◽  
Mathematical Ability ◽  
High Ability ◽  
School Students ◽  
Ability Group ◽  
Ability Test

Knowing the mathematization process was important for teacher. In solving problem, students were using their mathematization process. This research aimed to describe the horizontal and vertical mathematization process of junior high school students with high mathematical ability in solving contextual problem of fraction. This research was descriptive qualitative research. The research subjects was determined by mathematical ability test (TKM). Thirty four students of chosen class were given mathematical ability test (TKM). Then, they were divided into three groups based on the ability which were high ability, medium ability, and low ability group. Researcher took one subject from high ability group to be research subject. Then, researcher gave the profile mathematization process test (TPPM). The semi-structured interview was utilized to invstigate the answered of TPPM. The result of this research were: the high mathematical ability subject passed through all of activity in horizontal mathematization such as; identified the mathematical concept that is relevant to the problema; represented the problem in different ways; found the relations between problem language and the formal mathematic symbol; found the regularities, relations, pattern in problem; transfered the problem into mathematical model. The high mathematical ability subject also passed through all of activity in vertical mathematization such as; used the variety of different representation; used symbols, language, and formal mathematical process; made adjustments and development of mathematical models, combined, and united various models; created a mathematical argument; and generalized.

scholarly journals PROFILE OF OPEN-ENDED PROBLEM SOLVING BASED ON POLYA’S STEPS VIEWED FROM MATHEMATICAL ABILITY LEVEL OF JUNIOR HIGH SCHOOL STUDENTS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 402-411
Author(s):  
Safirah Viki Amalina ◽  
Rooselyna Ekawati
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Junior High School Students ◽  
Mathematical Ability ◽  
Ability Level ◽  
School Students ◽  
Ability Test

Problem solving is one of several important abilities a student must have. Problem solving is a planned process that mustbe done in order to get a certain solution of a problem that is not obtained immediately. One type of problem studentsmust solve is an open-ended problem. Open-ended problem solving for every student is certainly different from oneanother. The level of mathematical ability of students is one of the factors that influence these differences. This type ofresearch is a qualitative descriptive with the purpose to describe the profile of open-ended problem solving based onPolya’s steps viewed from mathematical ability level of junior high school students. Three students from grade VII arethe subjects in this research (one student having high mathematical ability, one student having moderate mathematicalability, and one student having low mathematical ability). This research uses instruments mathematical ability test, openended problem solving test, and interview guidelines. The results showed there were differences in the open-endedproblem solving profile on students with high, moderate, and low mathematical ability. Student with high mathematicalability can carry out all the steps of Polya’s problem solving. Student with moderate mathematical ability are able to carryout the step of understanding the problem, devising a plan, carrying out the plan, however there are indicators that are notfulfilled at looking back’s step they are using the other way to solve the problem and make conclusion. Student with lowmathematical ability can not show the adequacy of the data at understanding the problem’s step and can not carry out thesteps of devising a plan, carrying out the plan and looking back.

scholarly journals KARAKTERISTIK INTUISI SISWA SMP DALAM MEMECAHKAN MASALAH MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 155-161
Author(s):  
Anam Brammanto Satriyo Pamuji ◽  
Pradnyo Wijayanti
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Ability ◽  
School Students ◽  
Ability Test ◽  
Mathematics Ability ◽  
Mathematical Problems

The purpose of this study is to describe the intuition characteristics of junior high school students in solving mathematical problems viewed from mathematical abilities. This research based on qualitative descriptive study. The subjects of this study were taken from Lab School UNESA  Junior High School, which consisted of three students from class VIII A, namely one student with high, moderate,  and low mathematical ability. The method that used to collect data consists of the mathematical ability test,  problem solving test and so of the interview method. Data analysis uses the intuitive characteristic indicators at each stage of the problem solving. The conclusion of this study indicate that student with high mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with moderate mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of extrapolativeness, intrinsic certainty and perseverance, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Student with low mathematical ability at the stage of understanding the problem using affirmatory intuition with the characteristics of perseverance and coerciveness, at the stage of making plans using anticipatory intuition with the characteristics of global ideas, and at the stage of carrying out plans and checking again not using intuition. Keywords: Intuition, Problem solving , Mathematics ability

scholarly journals Profil Antisipasi Siswa SMP/MTs dalam Memecahkan Masalah Aljabar Ditinjau dari Kemampuan Matematika

2019 ◽  
Vol 1 (1) ◽  
pp. 37-52
Author(s):  
Maswar Maswar
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Female Students ◽  
Junior High School Students ◽  
Mathematical Ability ◽  
High Ability ◽  
School Students ◽  
Key Words Anticipation ◽  
Female Subjects

Abstrak Penelitian ini bertujuan untuk mendeskripsikan profil antisipasi siswa SMP/MTs dalam memecahkan masalah aljabar ditinjau dari kemampuan matematika. Antisipasi pada penelitian ini mengacu pada antisipasi bentuk forseeing, yang meliputi 5 jenis tingkatan antisipasi, yaitu (1) impulsive anticipation, (2) interiorized anticipation,(3) tanacious anticipation,(4) analytic anticipation, and (5) exploratif anticipation.. Subjek penelitian ini terdiri dari 1 siswa perempuan kelas VIII SMP dan 2 siswa perempuan kelas VIII MTs. Teknik pengumpulan datanya dilakukan dengan pemberian tugas pemecahan masalah aljabar dan wawancara. Hasil penelitian ini menunjukkan bahwa profil antisipasi siswa pada subjek perempuan berkemampuan tinggi (SPT) diklasifikasikan sebagai analytic anticipation. Kemudian, profil antisipasi siswa pada subjek perempuan berkemampuan sedang (SPS) diklasifikasikan sebagai interiozed anticipation. Sedangkan, profil antisipasi siswa pada subjek perempuan berkemampuan rendah (SPR) dalam memecahkan masalah aljabar diklasifikasikan sebagai interiozed anticipation.. Kata Kunci: Antisipasi, Pemecahan Masalah Aljabar, Kemampuan Matematika   Abstract This study is aimed to describe anticipation profile of Junior High School Students in solving algebra problem based on mathematical ability difference. Anticipation in this study refers to anticipate the type of foreseeing as follows: (1) impulsive anticipation, (2) tanacious anticipation, (3) interiorized anticipation, (4) analytic anticipation, and (5) exploratif anticipation.. The Subjects of this study is consisted of three female students of 8^th class at SMP/MTs. The technique of collecting data applied in this study are task giving and interview. The results of this study showed that the anticipation profile of students on high-ability female subjects (SPT) was classified as analytic anticipation. Then, the anticipation profile of students on moderate-ability female subjects (SPS) was classified as interiozed anticipation. Meanwhile, the anticipation profile of students on low-ability female subjects (SPR) are classified as interiozed anticipation Key words: Anticipation, Algebra Problem Solving, Mathematical Ability

scholarly journals Evaluasi Proses Berpikir Kreatif Berdasarkan Model Wallas Bagi Siswa SMP Dalam Menyelesaikan Masalah Matematika

2017 ◽  
Vol 8 (1) ◽  
pp. 1
Author(s):  
Mujib Mujib
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Creative Thinking ◽  
Junior High ◽  
Junior High School Students ◽  
School Students ◽  
Ability Test ◽  
Thinking Process ◽  
Math Problems

It is difficult for junior high school teachers to position and nurture their students who are still in transition in creative thinking when solving math problems. This study evaluates students' creative thinking process based on Wallas model (2014). The four stages of the creative thinking process according to Wallas include the preparatory, incubation, illumination, and verification phases. The purpose of this study is to describe the creative thinking process of students based on their basic ability level in solving math problems. This research applies giving test of geometric crater thinking ability by looking at homogenous student in kemampuandan interview for deepening. Subjects of junior high school students who categorized on the ability of high, medium, and low after the ability test. Variable of this research is the existence of junior high school students in solving math problems. By using qualitative descriptive method, data is analyzed through classification stage, data representation, and conclusion. In order to complete the results of data groupings used interview techniques to perform data triangulation. The results showed 1) there were 23.33% of students not complete and only reached the preparation stage, called the low category category; 2) there are 60% of students reach the illumination stage even though to this stage students take a long time, called the middle category category; And 3) 16.67% of students have been completed until the verification stage, called the high category category. Based on the deepening of the triangulation of the interviews, the students are correct in that category. For students with low and medium capability categories still require assistance when experiencing barriers to their creative thinking process, while high ability category students need enrichment material

scholarly journals Pengembangan Lembar Kerja Siswa (LKS) Berbasis Problem Based Learning untuk Meningkatkan Kemampuan Penalaran Matematika

2018 ◽  
Vol 1 (2) ◽  
pp. 144-151
Author(s):  
Sri Handayani ◽  
Novianti Mandasari
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Problem Based Learning ◽  
Potential Effect ◽  
Developmental Study ◽  
Reasoning Ability ◽  
School Students ◽  
Ability Test

The objectives of the study were to develop valid and practical problem based learning of students' worksheet for junior high school in Lubuklinggau. This is developmental study  which formative research type applied. The subject of the research was 75 junior high school students of Lubuklinggau city consists of 27 students of SMPN 9 Lubuklinggau, 27 students of SMPN 11 Lubuklinggau, 21 students of SMP PGRI Lubuklinggau. Walk through was used in data collection to know the construct, content and language validities of students' worksheet; document to know the practicality of students' worksheet. This research produced problem based learning students' worksheet which measure the students' mathematic reasoning ability. The result of mathematic reasoning ability test was 70.15. In summary, developing students' worksheet has potential effect toward students' mathematic reasoning ability. Keywords: Worksheet (LKS), problem based learning, reasoning ability

scholarly journals Eksplorasi kemampuan penalaran dan representasi matematis siswa sekolah menengah pertama

2018 ◽  
Vol 13 (2) ◽  
pp. 189-202
Author(s):  
Absorin Absorin ◽  
Sugiman Sugiman
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Reasoning ◽  
Junior High School Students ◽  
Mathematical Ability ◽  
Survey Method ◽  
Average Score ◽  
School Students

Penelitian ini bertujuan untuk mendeskripsikan kemampuan matematis, yang terdiri atas kemampuan penalaran dan representasi matematis siswa SMP di Kabupaten Indramayu, Jawa Barat. Penelitian ini merupakan penelitian survei dengan pendekatan kuantitatif. Populasi dalam penelitian ini adalah seluruh siswa SMP kelas VIII di Kabupaten Indramayu tahun pelajaran 2016/2017. Sampel penelitian sebanyak 390 siswa. Teknik pengambilan sampel yang digunakan adalah stratified random sampling.Pengumpulan data dilakukan melalui teknik Tes. Teknik analisis data menggunakan statistika deskriptif melalui dua cara, yaitu estimasi titik dan estimasi interval rata-rata untuk menentukan kategori ketercapaian pada masing-masing kemampuan matematis siswa. Hasil penelitian menunjukkan bahwa kemampuan matematis siswa SMP di Kabupaten Indramayu berada pada kategori sedang. Secara lebih spesifik rata-rata skor pada kemampuan penalaran matematis siswa termasuk dalam kategori sedang. Begitu juga pada rata-rata skor kemampuan representasi matematis siswa berada pada kategori sedang. Exploration ability of mathematical reasoning and representation of junior high school students AbstractThis study aimed to describe the mathematical ability, which consists of the ability of mathematical reasoning and representation in junior high school students in Indramayu, West Java Province, Indonesia. This research was using survey method with quantitative approach. The population in this study were all grade VIII students in both state and private junior high schools in Indramayu district in academic year of 2016/2017 and 390 students selected as sample research. The sampling technique was stratified random sampling. Data collected using test technique. Technique data analysis used descriptive statistics through two ways, namely estimation point and the average of interval estimation to determine the category of achievement in each of the students' mathematical abilities.  The result showed that the mathematical ability of junior high school students in Indramayu district was in the medium category. More specifically the average score on students' mathematical reasoning abilities was included in the moderate category. Similarly, the average score of students' mathematical representation ability was in the medium category.

scholarly journals Mathematical Engagement When Solving Mathematical Problem With Brawijaya Temple Context Based on Mathematical Ability Level

2020 ◽  
Vol 4 (2) ◽  
pp. 224
Author(s):  
Valerient Trisna Alfaoundra ◽  
Diesty Hayuhantika ◽  
Achmad Budi Santoso
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Problem ◽  
Junior High School Students ◽  
Mathematical Ability ◽  
School Students ◽  
Exploratory Approach ◽  
Low Levels

This research to describe the mathematical engagement of seventh grade junior high school students in problems solving with the theme of Brawijaya Temple with high, medium, and low levels of mathematical ability. This type of research is qualitative research using an exploratory approach. The students used were 6 grade VII students of Junior High School 1 Karangrejo who were students working on problem solving and interviewing. The results showed: (1) mathematical engagement of highly skilled students in  problems solving with the theme of Brawijaya Temple, namely students having the engagement of “get the job”, (2) mathematical engagement of students with moderate abilities in problems solving with the theme of Brawijaya Temple, namely students having engagement is “I am really into this”, (3) Mathematical engagement of students with low abilities in problems solving with the theme of Brawijaya Temple is that students have “pseudo-engagement”.

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